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frosja888 [35]
3 years ago
15

Solve the following system of equations

Mathematics
1 answer:
GrogVix [38]3 years ago
4 0

Answer:

Step-by-step explanation:

y = x - 5

2x - 5y = 1

2x - 5(x - 5) = 1

2x - 5x + 25 = 1

-3x + 25 = 1

-3x = -24

x = 8

y = 8 - 5

y = 3

(8, 3)

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Sally was walking to Ocean Front Housing Complex, In miles, how far is her distance?
Vanyuwa [196]

Answer:

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The coordinate ofthe deli is (1, -1)

Step-by-step explanation:

✍️Coordinate of Sally = (-3, 2)

Coordinate of Ocean Front = (5, -4)

The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to calculate the distance between (-3, 2) and (5, -4):

d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2}

d = \sqrt{(8)^2 + (-6)^2}

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✅The distance of Sally is 10 miles

✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.

Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).

Midpoint of (-3, 2) and (5, -4).

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Plug in the values

M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2})

M(\frac{2}{2}, \frac{-2}{2})

M(1, -1)

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